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UBC Theses and Dissertations
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols Mohazab, Ali Reza
Abstract
Expansion and computation of quantities around various (k x N) x (k x N) vacuua in BMN theory results in introduction of Matrix spherical harmonics and various traces of their products. In this thesis the formalism to deal with these harmonics is developed and a few bosonic diagrams that arise in computation of Tr(XªXª) are computed as an example. It is then seen that the large N limit is dominated by a planar subclass of these diagrams with a particular topology. This suggests a stronger constraint than that of 't Hooft.
Item Metadata
| Title |
Perturbative study of concentric 5-branes in plane-wave matrix model and development of mathematical formalism for wigner j-symbols
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2007
|
| Description |
Expansion and computation of quantities around various (k x N) x (k x N)
vacuua in BMN theory results in introduction of Matrix spherical harmonics
and various traces of their products. In this thesis the formalism to deal
with these harmonics is developed and a few bosonic diagrams that arise
in computation of Tr(XªXª) are computed as an example. It is then seen
that the large N limit is dominated by a planar subclass of these diagrams
with a particular topology. This suggests a stronger constraint than that of
't Hooft.
|
| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-03-04
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
| DOI |
10.14288/1.0084926
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.